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Finding the Fourth Proportional to 137,368.77, 206,042.91 and 42,599.69

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Solution

The fourth proportional to 137,368.77, 206,042.91 and 42,599.69 is: 63,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,368.77 : 206,042.91 = 42,599.69 : x
  2. Step 2: Convert to fraction form
    137,368.77/206,042.91 = 42,599.69/x
  3. Step 3: Cross multiply
    137,368.77x = 206,042.91 × 42,599.69
  4. Step 4: Simplify right side
    137,368.77x = 8,777,364,092.70
  5. Step 5: Solve for x
    x = 8,777,364,092.70/137,368.77
  6. Step 6: Final answer
    x = 63,896.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.